I KNOW I CAN I KNOW I CAN I KNOW I CAN

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I KNOW I CAN!I KNOW I CAN!I KNOW I CAN!
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USE FORMULA CHART EVEN IF YOU THINK YOU KNOW
THE FORMULA!!!
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Answer Questions make sure you are answering
the questions that are asked
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Calculators!!!

• Memory Reset 2nd, (mem), 7, 1, 2
• Degree Mode Mode, Degree, Enter, Clear
• Change a decimal to a Fraction or Reducing
  Fractions Math, 1, Enter

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More Calculators

• Solve equations for y
• type in 2 different equations one into y1 and the
  other into y2
• ZOOM 0 to find the 2 lines (equations)
• 2nd, Trace, 5, Enter (3 Times)
• If you get the (ERROR NO SIGN CHANGE) Adjust
  WINDOW SETTING
• You are trying to find where the 2 lines
  cross
• Finding intercepts in the calculator.Go to the
  table and find where x0 this is the
  y-intercept, find where y0 and this is your
  x-intercept

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Even More Calculators

• If they give you coordinates and you need an
  equation
• STAT, Edit, enter the coordinates into L1 and L2
• (be careful that you keep the x values in the
  first column and the y values in the 2nd column)
• STAT again and arrow over to CALC
• Choose 4 (LinReg(axb)) Enter
• If you want it to put the equation in the y then
  when you go to STAT the 2nd time CALC choose 4
  (LinReg (axb)) L1, L2, VARS, Y-Vars, 1
  (Function), 1 (y1) then enter it will look the
  same as above, but will put the equation in the
  y so that you can graph and look at the table.

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Objective 1 Describes functional relationships
in a variety of ways

• TRY TO PLUG EVERYTHING INTO THE CALCULATOR!!!
• ( y compare to the graph and the Table)
• (x , y)
• f(x) y function notation
• Types of functions linear (straight line)
  quadratic (parabola)
• DRYMIX
• Independent x domain
• Dependent y range
• Mapping

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Objective 1

• A function is when no x values repeat
• (2, 5) (1, 4) (3, 5)
• pencil test run your pencil left to right on
  your paper vertically if it touches the line in
  two places at once, its not a function
• Not a function when x values repeat
• (2, 5) (1, 4) (2, 5)

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Objective 2 Demonstrate the properties and
attributes of functions

• Independent x domain
• Dependent y range
• Y m x b Linear (Line)
• Slope (m) (rate of change) Positive slope
  Negative slope
• y intercept (b) where a line crosses the
  y-axis (Table x will always be zero (0 , )

y
x

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Objective 2

• x-intercept where a line crosses the x-axis
  (Table y will always be zero (, 0))
• Standard form Ax By C
• Slope- int form y m x b
• Point slope form y-y1 m (x - x1)
• Horizontal line 0 slope 0/1 Equations will
  be y
• Vertical line undefined slope 1/0 Equation
  will be x
• Solution, zero means the x intercept(s).
• Quadratics
• answers could be referred to as roots, zeros,
  solutions, x-intercepts
• (when y x2)
• Parabola name of the U shape
• Coefficients with fractions make parabola wider
  y 1/3 x2, whole numbers make parabola narrower y
  2x2
• Coefficients that are positive the parabola opens
  upward y 2x2, negative open downward y -2x2

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Objective 3 Understanding of linear functions

• Y m x b Linear (Line) m slope

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Objective 4 Formulate and use linear equations
and inequalities

• PEMDAS
• -1 (6x) -6 - x
• Solving systems of equations
• Plug into y1 and y2
• graph
• Zoom 0 (will find the 2 equations)
• Window (if you still cant see the intersection
  point)
• 2nd Trace
• 5 (intercept)
• Enter (3 times)

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Objective 4

• Inequalities
• lt less than ? open circle dashed line
• gt greater than ? open circle dashed line
• less than/equal to closed circle solid
  line
• greater than/equal to closed circle solid
  line
• When solving for an inequality remember when you
  divide by a negative number then you change the
  direction of the inequality sign
• Shading in the calculator

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Objective 5 Demonstrate and understanding of
quadratic and other non-linear functions

• Quadratics
• (when y x2)
• Parabola name of the U shape
• Coefficients with fractions make parabola wider
  y 1/3 x2, whole numbers make parabola narrower y
  2x2
• Coefficients that are positive the parabola opens
  upward
• y 2x2, negative open downward y -2x2
• Answers for Quadratics can also be called
• Solutions, Answers, Zeros, Roots, x-intercepts.

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Objective 5

• Exponent
• r3 r5 r8
• When multiplying you add exponents
• r3/r2 r
• When dividing you subtract exponents
• (r3)2 r6
• When you have an exponent the you multiply
  exponents
• (pr3)4 p4r12

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Objective 6 Demonstrate an understanding of
geometric relationships and spatial reasoning

• Quadrants are read counter clockwise . To find a
  point, go over then up or down. (x, y)

y
Quadrant II
Quadrant I
x
Quadrant VI
Quadrant III
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Objective 6

• Midpoint point in the middle (More importantly
  cuts a segment into 2 equal parts!)
• which means
• Proportions keywords, similar, same rate,
  direct variation setup a pattern be
  consistent cross multiply

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Objective 6

• Transformations
• Dilation size change
• Translations Slide
• Reflection Flip (orientation will change) (Line
  of symmetry)
• Rotation turn
• Enlargement scale factor is greater gt than
  1
• Reduction scale factor is less lt than 1.

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Objective 7 Demonstrate an understanding of
two-and three- dimensional representations of
geometric relationships and shapes.

• Perimeter ADD ALL SIDES
• Area Shaded , 2 dimensional (Answers are
  squared cm2)
• Bases when you have 2 congruent, parallel
  shapes (Not the top and the bottom)
• Cylinder Rectangular prism

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Objective 7

• Right Triangle Pythagorean Theorem used to
  find the missing side of the triangle
• a2 b2 c2
• 45? - 45? - 90? x , x, xv2
• hyp leg
• Isosceles Triangle
• 30? - 60? - 90? x, 2x, xv3
• hyp sl 2
• ll sl leg

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Objective 8 Demonstrate an understanding of the
concepts and uses of measuring and similarity

• Inches Use the ruler and count the spaces.
• There are 4 (round to the nearest quarter inch)
• 8 (round to the nearest eight of an inch)
• 16 (round to the nearest sixteenth of an inch)
  spaces in one inch
• Proportions keywords, similar, same rate,
  direct variation setup a pattern be
  consistent cross multiply
• Triangles
• Equilateral triangles all sides are equal
• Isosceles triangle - 2 sides are equal
• Scalene triangle no equal sides.

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Objective 8

• Nets the unfolded figure (flat) When you
  flatten a 3-D figure.
• Surface Area both lateral and total (cm²)
  Area of a 3-D figure find the area of each side
  and add it together.
• Volume How much can something hold? (cm³)
  -three dimensions

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Magic Numbers (Dimension Changes)

• Perimeter
• if you double the dimensions you double the
  perimeter
• if you triple the dimensions you triple the
  perimeter
• if you half the dimensions you half the perimeter
• if you take 1/3 of the dimensions you 1/3 the
  perimeter
• Area
• if you double the dimensions you quadruple (x4)
  the area
• If you triple the dimensions you x9 the area
• If you ½ the dimensions you ¼ the area
• If you 1/3 of the dimensions you take 1/9 of the
  area
• Volume
• if you double the dimensions you x8 the volume
• If you triple the dimensions you x27 the volume
• If you take ½ of the dimension you take 1/8 of
  the volume
• If you take 1/3 of the dimension you take 1/27 of
  the volume

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Objective 9 Demonstrate an understanding of
percent, proportional relationships, probability,
and statistics in application problems

• Mean average add all up and divide by how
  many you have (just like figuring your average
  test grade)
• Median middle (MUST put numbers in numerical
  order)
• Mode number that occurs most often
• Range high - low

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Objective 9

• Probability when in doubt multiply!
• Theoretical Probability this is what should
  happen, what is expected to happen.
• Experimental probability this is what actually
  happened
• Tables
• Bar Graphs
• Circle Graphs !! Angles in the center 360º
  percents total 100

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Objective 10 Demonstrate an understanding of the
mathematical processes and tools used in problem
solving

• DRAW A PICTURE
• is there a FORMULA you can use?
• Extra Stuff!
• Trigonometry
• (Opposite across from, Adjacent next to,
  Hypotenuse across from 90?)

Sin Cos Tan SOH CAH TOA
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• Look for a pattern.
• Try to use the calculator as much as possible.
• Do the problems you LIKE first!
• Be sure to put a star next to those you KNOW
  are right,
• Put an arrow that you are PRETTY SURE
  of so you can go back and look them over again!